Math 8 Unit 5: Relations & Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

How can you determine if a relation is a function?

Back

You can determine if a relation is a function by using the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line crosses the graph more than once, the graph does not represent a function.

Front

What does it mean for a function to have repeating input values?

Back

If a function has repeating input values, it means that the same x-value is paired with more than one y-value, which violates the definition of a function.

Front

Give an example of a function using ordered pairs.

Back

An example of a function is: (1, 2), (2, 3), (3, 4). Each input (x) has a unique output (y).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each input is paired with a unique output, and no two different inputs have the same output.